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Finding the Third Proportional to 13,718.25 and 28,284.75

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Solution

The third proportional to 13,718.25 and 28,284.75 is: 58,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.25 : 28,284.75 = 28,284.75 : x
  2. Step 2: Convert to fraction form
    13,718.25/28,284.75 = 28,284.75/x
  3. Step 3: Cross multiply
    13,718.25x = 28,284.75 × 28,284.75
  4. Step 4: Simplify right side
    13,718.25x = 800,027,082.56
  5. Step 5: Solve for x
    x = 800,027,082.56/13,718.25
  6. Step 6: Final answer
    x = 58,318.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.